Mplus VERSION 8.3
MUTHEN & MUTHEN
12/18/2024   3:36 PM

INPUT INSTRUCTIONS

  TITLE:LPA
  DATA:FILE IS C:\Users\72833\Desktop\Y.dat;
  VARIABLE:NAMES ARE Y1-Y19;
           USEVARIABLES ARE Y1-Y19;
           CLASSES = c(4);
  ANALYSIS: TYPE = MIXTURE;
  OUTPUT: TECH11 TECH14;
  SAVEDATA:File = 4class.txt;
           SAVE = CPROB;

  plot:
  type = plot3;
  series = Y1-Y19(*);



*** WARNING in MODEL command
  All variables are uncorrelated with all other variables within class.
  Check that this is what is intended.
   1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



LPA

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         347

Number of dependent variables                                   19
Number of independent variables                                  0
Number of continuous latent variables                            0
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10         Y11         Y12
   Y13         Y14         Y15         Y16         Y17         Y18
   Y19

Categorical latent variables
   C


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         20
  Number of final stage optimizations                            4
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0

Input data file(s)
  C:\Users\72833\Desktop\Y.dat
Input data format  FREE



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     Y1                    3.790      -0.842       1.000    0.86%       3.000      4.000      4.000
             347.000       0.633       1.000       5.000   13.83%       4.000      4.000
     Y2                    3.824      -0.667       2.000    3.46%       3.000      4.000      4.000
             347.000       0.398       1.103       5.000    9.22%       4.000      4.000
     Y3                    3.994      -1.025       1.000    1.15%       4.000      4.000      4.000
             347.000       0.559       2.408       5.000   21.61%       4.000      5.000
     Y4                    3.677      -0.939       1.000    1.15%       3.000      4.000      4.000
             347.000       0.599       1.139       5.000    8.07%       4.000      4.000
     Y5                    4.069      -0.782       1.000    0.29%       4.000      4.000      4.000
             347.000       0.554       1.085       5.000   27.09%       4.000      5.000
     Y6                    3.677      -0.650       1.000    0.58%       3.000      4.000      4.000
             347.000       0.536       0.737       5.000    8.36%       4.000      4.000
     Y7                    3.793      -0.688       1.000    0.58%       3.000      4.000      4.000
             347.000       0.568       0.892       5.000   13.26%       4.000      4.000
     Y8                    3.847      -1.031       1.000    1.15%       3.000      4.000      4.000
             347.000       0.481       2.762       5.000   11.82%       4.000      4.000
     Y9                    4.000      -0.497       2.000    2.59%       4.000      4.000      4.000
             347.000       0.461       0.633       5.000   20.46%       4.000      5.000
     Y10                   3.942      -0.733       1.000    0.58%       4.000      4.000      4.000
             347.000       0.469       1.840       5.000   17.00%       4.000      4.000
     Y11                   3.548      -0.423       1.000    1.73%       3.000      3.000      4.000
             347.000       0.876      -0.261       5.000   13.54%       4.000      4.000
     Y12                   3.916      -0.357       2.000    1.73%       3.000      4.000      4.000
             347.000       0.394       0.628       5.000   14.12%       4.000      4.000
     Y13                   3.513      -0.476       1.000    1.44%       3.000      3.000      4.000
             347.000       0.826      -0.265       5.000   10.37%       4.000      4.000
     Y14                   3.769      -0.537       2.000    3.75%       3.000      4.000      4.000
             347.000       0.425       0.606       5.000    8.65%       4.000      4.000
     Y15                   3.793      -0.555       2.000    5.48%       3.000      4.000      4.000
             347.000       0.516       0.418       5.000   12.10%       4.000      4.000
     Y16                   3.637      -0.170       1.000    0.29%       3.000      3.000      4.000
             347.000       0.571      -0.067       5.000   10.95%       4.000      4.000
     Y17                   3.683      -0.068       1.000    0.29%       3.000      4.000      4.000
             347.000       0.493       0.044       5.000   10.66%       4.000      4.000
     Y18                   3.769      -0.421       1.000    0.58%       3.000      4.000      4.000
             347.000       0.500       0.778       5.000   12.10%       4.000      4.000
     Y19                   3.573      -0.115       1.000    0.58%       3.000      3.000      4.000
             347.000       0.706      -0.288       5.000   13.26%       4.000      4.000

RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

           -6334.433  93468            3
           -6334.433  637345           19
           -6334.433  462953           7
           -6334.433  253358           2



THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED.  RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       98

Loglikelihood

          H0 Value                       -6334.433
          H0 Scaling Correction Factor      1.3063
            for MLR

Information Criteria

          Akaike (AIC)                   12864.865
          Bayesian (BIC)                 13242.099
          Sample-Size Adjusted BIC       12931.213
            (n* = (n + 2) / 24)



FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL

    Latent
   Classes

       1         43.56711          0.12555
       2        200.79688          0.57867
       3         63.03559          0.18166
       4         39.60042          0.11412


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1         43.56711          0.12555
       2        200.79688          0.57867
       3         63.03559          0.18166
       4         39.60042          0.11412


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1               43          0.12392
       2              203          0.58501
       3               62          0.17867
       4               39          0.11239


CLASSIFICATION QUALITY

     Entropy                         0.921


Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)

           1        2        3        4

    1   0.981    0.000    0.019    0.000
    2   0.000    0.962    0.024    0.014
    3   0.022    0.053    0.925    0.000
    4   0.000    0.057    0.000    0.943


Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

           1        2        3        4

    1   0.969    0.000    0.031    0.000
    2   0.000    0.972    0.016    0.011
    3   0.013    0.077    0.910    0.000
    4   0.000    0.072    0.000    0.928


Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

              1        2        3        4

    1     13.784    6.164   10.340    0.000
    2     -6.985    4.468    0.385    0.000
    3      9.449   11.256   13.721    0.000
    4    -13.741   -2.560  -13.741    0.000


MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 Means
    Y1                 2.701      0.137     19.707      0.000
    Y2                 2.935      0.115     25.620      0.000
    Y3                 3.022      0.152     19.888      0.000
    Y4                 2.618      0.155     16.880      0.000
    Y5                 3.055      0.111     27.425      0.000
    Y6                 2.908      0.116     25.024      0.000
    Y7                 2.962      0.097     30.465      0.000
    Y8                 3.137      0.120     26.107      0.000
    Y9                 3.102      0.103     30.202      0.000
    Y10                2.950      0.116     25.478      0.000
    Y11                2.901      0.116     25.046      0.000
    Y12                3.323      0.105     31.735      0.000
    Y13                3.189      0.116     27.595      0.000
    Y14                3.398      0.114     29.918      0.000
    Y15                3.259      0.096     33.916      0.000
    Y16                3.184      0.112     28.390      0.000
    Y17                3.117      0.101     30.928      0.000
    Y18                3.053      0.095     32.260      0.000
    Y19                3.049      0.089     34.338      0.000

 Variances
    Y1                 0.403      0.047      8.597      0.000
    Y2                 0.249      0.024     10.293      0.000
    Y3                 0.387      0.044      8.718      0.000
    Y4                 0.345      0.045      7.665      0.000
    Y5                 0.376      0.044      8.563      0.000
    Y6                 0.343      0.034     10.032      0.000
    Y7                 0.363      0.045      8.089      0.000
    Y8                 0.338      0.047      7.136      0.000
    Y9                 0.281      0.033      8.490      0.000
    Y10                0.270      0.030      9.139      0.000
    Y11                0.604      0.055     10.919      0.000
    Y12                0.268      0.028      9.616      0.000
    Y13                0.582      0.060      9.653      0.000
    Y14                0.289      0.025     11.351      0.000
    Y15                0.320      0.033      9.780      0.000
    Y16                0.427      0.040     10.689      0.000
    Y17                0.331      0.031     10.798      0.000
    Y18                0.343      0.036      9.605      0.000
    Y19                0.519      0.049     10.541      0.000

Latent Class 2

 Means
    Y1                 3.926      0.049     79.602      0.000
    Y2                 3.956      0.036    108.394      0.000
    Y3                 4.089      0.048     85.786      0.000
    Y4                 3.905      0.043     91.685      0.000
    Y5                 4.184      0.052     81.071      0.000
    Y6                 3.821      0.045     85.010      0.000
    Y7                 3.938      0.047     83.311      0.000
    Y8                 3.953      0.037    105.790      0.000
    Y9                 4.150      0.041    102.276      0.000
    Y10                4.078      0.041     99.371      0.000
    Y11                3.686      0.073     50.426      0.000
    Y12                4.022      0.040    100.724      0.000
    Y13                3.711      0.064     58.240      0.000
    Y14                3.908      0.036    107.776      0.000
    Y15                3.972      0.042     94.981      0.000
    Y16                3.752      0.053     71.070      0.000
    Y17                3.793      0.046     81.955      0.000
    Y18                3.904      0.044     87.957      0.000
    Y19                3.715      0.068     54.270      0.000

 Variances
    Y1                 0.403      0.047      8.597      0.000
    Y2                 0.249      0.024     10.293      0.000
    Y3                 0.387      0.044      8.718      0.000
    Y4                 0.345      0.045      7.665      0.000
    Y5                 0.376      0.044      8.563      0.000
    Y6                 0.343      0.034     10.032      0.000
    Y7                 0.363      0.045      8.089      0.000
    Y8                 0.338      0.047      7.136      0.000
    Y9                 0.281      0.033      8.490      0.000
    Y10                0.270      0.030      9.139      0.000
    Y11                0.604      0.055     10.919      0.000
    Y12                0.268      0.028      9.616      0.000
    Y13                0.582      0.060      9.653      0.000
    Y14                0.289      0.025     11.351      0.000
    Y15                0.320      0.033      9.780      0.000
    Y16                0.427      0.040     10.689      0.000
    Y17                0.331      0.031     10.798      0.000
    Y18                0.343      0.036      9.605      0.000
    Y19                0.519      0.049     10.541      0.000

Latent Class 3

 Means
    Y1                 3.630      0.104     35.012      0.000
    Y2                 3.667      0.087     42.206      0.000
    Y3                 3.956      0.079     49.893      0.000
    Y4                 3.262      0.094     34.559      0.000
    Y5                 4.027      0.100     40.466      0.000
    Y6                 3.250      0.099     32.970      0.000
    Y7                 3.387      0.124     27.381      0.000
    Y8                 3.554      0.118     30.042      0.000
    Y9                 3.721      0.096     38.735      0.000
    Y10                3.750      0.094     39.860      0.000
    Y11                2.886      0.118     24.483      0.000
    Y12                3.564      0.097     36.640      0.000
    Y13                2.629      0.161     16.328      0.000
    Y14                3.186      0.136     23.395      0.000
    Y15                3.129      0.131     23.838      0.000
    Y16                3.120      0.099     31.380      0.000
    Y17                3.214      0.092     34.998      0.000
    Y18                3.393      0.105     32.213      0.000
    Y19                2.975      0.092     32.270      0.000

 Variances
    Y1                 0.403      0.047      8.597      0.000
    Y2                 0.249      0.024     10.293      0.000
    Y3                 0.387      0.044      8.718      0.000
    Y4                 0.345      0.045      7.665      0.000
    Y5                 0.376      0.044      8.563      0.000
    Y6                 0.343      0.034     10.032      0.000
    Y7                 0.363      0.045      8.089      0.000
    Y8                 0.338      0.047      7.136      0.000
    Y9                 0.281      0.033      8.490      0.000
    Y10                0.270      0.030      9.139      0.000
    Y11                0.604      0.055     10.919      0.000
    Y12                0.268      0.028      9.616      0.000
    Y13                0.582      0.060      9.653      0.000
    Y14                0.289      0.025     11.351      0.000
    Y15                0.320      0.033      9.780      0.000
    Y16                0.427      0.040     10.689      0.000
    Y17                0.331      0.031     10.798      0.000
    Y18                0.343      0.036      9.605      0.000
    Y19                0.519      0.049     10.541      0.000

Latent Class 4

 Means
    Y1                 4.550      0.088     51.471      0.000
    Y2                 4.385      0.087     50.170      0.000
    Y3                 4.641      0.096     48.370      0.000
    Y4                 4.349      0.113     38.630      0.000
    Y5                 4.671      0.080     58.142      0.000
    Y6                 4.478      0.111     40.314      0.000
    Y7                 4.612      0.112     41.218      0.000
    Y8                 4.560      0.143     31.843      0.000
    Y9                 4.672      0.129     36.183      0.000
    Y10                4.655      0.093     50.175      0.000
    Y11                4.610      0.102     45.224      0.000
    Y12                4.595      0.101     45.544      0.000
    Y13                4.274      0.188     22.759      0.000
    Y14                4.402      0.113     38.861      0.000
    Y15                4.527      0.108     42.096      0.000
    Y16                4.373      0.142     30.832      0.000
    Y17                4.495      0.157     28.655      0.000
    Y18                4.473      0.114     39.368      0.000
    Y19                4.384      0.186     23.581      0.000

 Variances
    Y1                 0.403      0.047      8.597      0.000
    Y2                 0.249      0.024     10.293      0.000
    Y3                 0.387      0.044      8.718      0.000
    Y4                 0.345      0.045      7.665      0.000
    Y5                 0.376      0.044      8.563      0.000
    Y6                 0.343      0.034     10.032      0.000
    Y7                 0.363      0.045      8.089      0.000
    Y8                 0.338      0.047      7.136      0.000
    Y9                 0.281      0.033      8.490      0.000
    Y10                0.270      0.030      9.139      0.000
    Y11                0.604      0.055     10.919      0.000
    Y12                0.268      0.028      9.616      0.000
    Y13                0.582      0.060      9.653      0.000
    Y14                0.289      0.025     11.351      0.000
    Y15                0.320      0.033      9.780      0.000
    Y16                0.427      0.040     10.689      0.000
    Y17                0.331      0.031     10.798      0.000
    Y18                0.343      0.036      9.605      0.000
    Y19                0.519      0.049     10.541      0.000

Categorical Latent Variables

 Means
    C#1                0.095      0.280      0.341      0.733
    C#2                1.623      0.247      6.577      0.000
    C#3                0.465      0.306      1.520      0.129


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.769E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL 11 OUTPUT

     Random Starts Specifications for the k-1 Class Analysis Model
        Number of initial stage random starts                  20
        Number of final stage optimizations                     4



     VUONG-LO-MENDELL-RUBIN LIKELIHOOD RATIO TEST FOR 3 (H0) VERSUS 4 CLASSES

          H0 Loglikelihood Value                        -6447.560
          2 Times the Loglikelihood Difference            226.254
          Difference in the Number of Parameters               20
          Mean                                             71.080
          Standard Deviation                              103.904
          P-Value                                          0.0677

     LO-MENDELL-RUBIN ADJUSTED LRT TEST

          Value                                           224.336
          P-Value                                          0.0701


TECHNICAL 14 OUTPUT

     Random Starts Specifications for the k-1 Class Analysis Model
        Number of initial stage random starts                  20
        Number of final stage optimizations                     4

     Random Starts Specification for the k-1 Class Model for Generated Data
        Number of initial stage random starts                   0
        Number of final stage optimizations for the
           initial stage random starts                          0
     Random Starts Specification for the k Class Model for Generated Data
        Number of initial stage random starts                  40
        Number of final stage optimizations                     8
     Number of bootstrap draws requested                   Varies


     PARAMETRIC BOOTSTRAPPED LIKELIHOOD RATIO TEST FOR 3 (H0) VERSUS 4 CLASSES

          H0 Loglikelihood Value                        -6447.560
          2 Times the Loglikelihood Difference            226.254
          Difference in the Number of Parameters               20
          Approximate P-Value                              0.0000
          Successful Bootstrap Draws                            5

     WARNING:  OF THE 5 BOOTSTRAP DRAWS, 3 DRAWS HAD BOTH A SMALLER LRT VALUE THAN THE
     OBSERVED LRT VALUE AND NOT A REPLICATED BEST LOGLIKELIHOOD VALUE FOR THE 4-CLASS MODEL.
     THIS MEANS THAT THE P-VALUE MAY NOT BE TRUSTWORTHY DUE TO LOCAL MAXIMA.
     INCREASE THE NUMBER OF RANDOM STARTS USING THE LRTSTARTS OPTION.



PLOT INFORMATION

The following plots are available:

  Histograms (sample values)
  Scatterplots (sample values)
  Sample means
  Estimated means, medians, modes, and percentiles
  Sample and estimated means
  Observed individual values
  Estimated means and observed individual values
  Estimated overall and class-specific distributions

SAVEDATA INFORMATION


  Save file
    4class.txt

  Order and format of variables

    Y1             F10.3
    Y2             F10.3
    Y3             F10.3
    Y4             F10.3
    Y5             F10.3
    Y6             F10.3
    Y7             F10.3
    Y8             F10.3
    Y9             F10.3
    Y10            F10.3
    Y11            F10.3
    Y12            F10.3
    Y13            F10.3
    Y14            F10.3
    Y15            F10.3
    Y16            F10.3
    Y17            F10.3
    Y18            F10.3
    Y19            F10.3
    CPROB1         F10.3
    CPROB2         F10.3
    CPROB3         F10.3
    CPROB4         F10.3
    C              F10.3

  Save file format
    24F10.3

  Save file record length    10000


DIAGRAM INFORMATION

  Mplus diagrams are currently not available for Mixture analysis.
  No diagram output was produced.


     Beginning Time:  15:36:18
        Ending Time:  15:36:27
       Elapsed Time:  00:00:09



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